My 5083E has a manual 4x4 engagement not an electronic and the 4wd light stays on all the time. I'd suggest looking at jdparts.com and looking up by model and you should be able to find the part you are looking for.
Someone before me found the wire and used it for something else . Lucky for my autolec the customer has a JD 5325 that is simelar to this one and we could check on that to find the wire .4x4 is working fine now ! Thanks for all your help .